TS ICET 2014

Instructions

For the following questions answer them individually

Question 131

The coefficient of middle term in the expansion of $$(1 + x)^{40}$$ is

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Question 132

$$\begin{bmatrix}2 & 16 \\-8 & 0 \end{bmatrix} = \begin{bmatrix}a & b^2 \\c^3 & 0 \end{bmatrix}, c < 0, b < 0$$
$$\Rightarrow 3a + b + c =$$

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Question 133

If A, B are two matrices such that AB = A, BA = B, then $$A^2 + B^2 =$$

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Question 134

$$\lim_{x \rightarrow 0}\frac{\tan x}{x^\circ} =$$

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Question 135

$$x = \sqrt{x + y} \Rightarrow \frac{dy}{dx} =$$

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Question 136

In a $$\triangle ABC, D, E, F$$ are the mid points of the sides AB, BC and CA respectively. If AB = 8 cm, BC = 15 cm and AC = 12 cm, then $$DE + EF + FD =$$

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Question 137

A, B, C are three points on the circumference of a circle with centre O. If, in $$\triangle ABC, \angle B = 60^\circ$$ and $$\angle C = 70^\circ$$, then $$\angle BOC =$$

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Question 138

If P, Q, R, S are the mid points of the sides of a quadrilateral ABCD, then the quadrilateral PQRS is a

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Question 139

The points A(3, -5) and B(-5, 4) are given. If C is a point such that $$\frac{AC}{CB} = 2$$, then the coordinates of C are

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Question 140

A (4, 2), B(6, 5) and C (1, 4) are the vertices of a $$\triangle ABC$$. The median from A meets the
side BC at D. Then $$2AD^2 =$$

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